10632150238320 has 640 divisors, whose sum is σ = 40431354727680. Its totient is φ = 2551383982080.

The previous prime is 10632150238319. The next prime is 10632150238321. The reversal of 10632150238320 is 2383205123601.

10632150238320 is a `hidden beast` number, since 1 + 0 + 6 + 321 + 5 + 0 + 2 + 3 + 8 + 320 = 666.

10632150238320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10632150238319) and next prime (10632150238321).

It is a super-2 number, since 2×10632150238320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10632150238321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2045821962 + ... + 2045827158.

It is an arithmetic number, because the mean of its divisors is an integer number (63173991762).

Almost surely, 2^{10632150238320} is an apocalyptic number.

10632150238320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10632150238320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20215677363840).

10632150238320 is an abundant number, since it is smaller than the sum of its proper divisors (29799204489360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10632150238320 is a wasteful number, since it uses less digits than its factorization.

10632150238320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10632150238320 in words is "ten trillion, six hundred thirty-two billion, one hundred fifty million, two hundred thirty-eight thousand, three hundred twenty".